We discuss the effect of small statistical thermal fluctuations around the equilibrium of the thermodynamics of a small non-rotating BTZ black hole. This is done by evaluating the leading-order corrections to the thermodynamical equations of state, namely entropy, free energy, internal energy, pressure, enthalpy, Gibbs free energy, and specific heat, quantitatively. In order to analyze the effects of perturbations on the thermodynamics, we plot various graphs and compare corrected and non-corrected thermodynamic quantities with respect to the event horizon radius of a non-rotating BTZ black hole. We also derive the first-order corrections to isothermal compressibility.
The motivation behind this study is to enumerate the leading order corrections to the thermodynamics of BTZ black hole (named after three scientists; Banados, Teitelboim, and Zanelli). We first analyze the effect of quantum corrections (motivated from string theory and loop quantum gravity) on various thermodynamic variables for uncharged and stationary BTZ black hole. We, later on, endow charges and rotations to the same black hole and rederive all the expressions once again. The comparative analysis is done between the corrected and uncorrected thermodynamics via plots.
In this paper, we investigate the effect of quantum corrections on the thermodynamics of AdS black hole in massive gravity. We compute the leading order corrections to the entropy of AdS black hole and then plot the entropy as a function of event horizon radius so as to have a comparative analysis between the corrected and the uncorrected entropy densities. Furthermore, we also evaluate the first-order leading corrections to other thermodynamic quantities like free energy, internal energy, pressure, enthalpy, and Gibbs free energy and later plot these quantities against event horizon radius for different values of correction parameter in order to have a qualitative picture of the effect that quantum corrections lead to the thermodynamics of massive AdS black hole.
In this paper, we will analyze the breaking of Lorentz symmetry using aether superspace. We will analyze the aether deformation of a Chern–Simons theory using this deformed superspace. As this theory, will have gauge symmetry, we will add gauge and ghost terms to the original action. We will analyze the nonlinear BRST symmetry for this theory. We also analyze the quantum BRST symmetry in BV formalism.
In this paper, we explore the effect of quantum fluctuations on the thermodynamic potentials, characterizing the (2[Formula: see text]+[Formula: see text]1)-dimensional AdS black hole with the negative cosmological constant in massive gravity. The (2[Formula: see text]+[Formula: see text]1)-dimensional black hole solution was discovered by three pioneer scientists, Banados, Teitelboim, and Zanelli in 1992 and hence is named as BTZ black hole.[Formula: see text] First, we present the brief idea of the BTZ black hole solution in massive gravity and then estimate the leading order corrections to thermodynamic potentials characterizing BTZ black hole in massive gravity. The qualitative analysis is done by plotting the corrected thermodynamic potentials against the event horizon radius for distinct values of the correction parameter. The correction parameter [Formula: see text] measures the strength of quantum fluctuations.
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